2661243648 has 288 divisors, whose sum is σ = 8813597184. Its totient is φ = 695402496.

The previous prime is 2661243643. The next prime is 2661243649. The reversal of 2661243648 is 8463421662.

2661243648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2661243643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3381111 + ... + 3381897.

It is an arithmetic number, because the mean of its divisors is an integer number (30602768).

Almost surely, 2^2661243648 is an apocalyptic number.

2661243648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406798592).

2661243648 is an abundant number, since it is smaller than the sum of its proper divisors (6152353536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2661243648 is a wasteful number, since it uses less digits than its factorization.

2661243648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 853 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 2661243648 is about 51587.2430742330. The cubic root of 2661243648 is about 1385.7818829734.

The spelling of 2661243648 in words is "two billion, six hundred sixty-one million, two hundred forty-three thousand, six hundred forty-eight".